Greatest Common Factor of 8504/89, 8366/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8504/89, 8366/781

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8504/89,8366/781

Given fractions are 8504/89,8366/781

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8504,8366

Greatest Common Factor of Numerators i.e. GCF of 8504,8366 is 2 .

LCM of Denominators means LCM of 89,781 as per the given fractions.

LCM of 89,781 is 69509 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8504,8366

GCF of Fractions 8504/89,8366/781 is 2/69509

2 8504, 8366
4252, 4183

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8504,8366 By Matching Biggest Common Factor Method

Greatest Common Factor of 8504,8366 By Matching Biggest Common Factor Method

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Factors of 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1,2,47,89,94,178,4183,8366

Greatest Common Factor

We found the factors 8504,8366 . The biggest common factor number is the GCF number.
So the greatest common factor 8504,8366 is 2.

Lets's calculate LCM of 89,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 69509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69509

Therefore, the GCF of Fractions 8504/89,8366/781 is 2/69509

Least Common Multiple of 89,781 with GCF Formula

Least Common Multiple of 89,781 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,781) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,781) x common factors =1 x 1 = 1

LCM(89,781) = ( 89 × 781 ) / 1

LCM(89,781) = 69509 / 1

LCM(89,781) = 69509


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8504/89, 8366/781

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8504/89, 8366/781?

Answer: GCF of Numerators as per given numbers 8504/89, 8366/781 is

GCF of Numerators i.e. for 8504,8366 is 2

LCM of denominators i.e. for 89,781 is 69509.

Thus, GCF of Fractions is 2/69509.Finally, GCF of Fractions for 8504/89, 8366/781 is 2/69509.